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Finding the Fourth Proportional to 82.71, 114.18 and 63.33

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Solution

The fourth proportional to 82.71, 114.18 and 63.33 is: 87.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.71 : 114.18 = 63.33 : x
  2. Step 2: Convert to fraction form
    82.71/114.18 = 63.33/x
  3. Step 3: Cross multiply
    82.71x = 114.18 × 63.33
  4. Step 4: Simplify right side
    82.71x = 7,231.02
  5. Step 5: Solve for x
    x = 7,231.02/82.71
  6. Step 6: Final answer
    x = 87.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.